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Create annotation system (creates a ticket)

Manual annotation is the default. Approved files are written as sibling pages under kanbun/, hanmun/, or hanvan/ with the same filename as this source page.

Annotation system

Summary

Reasoning

Digital keyboard

Kanbun-LM is not shown here because automatic generation is Japanese-only. This patch keeps the manual path as the default workflow.

Source page


# WORK_TITLE: 完全數
# DISPLAY_TITLE: 完全數
# AUTHOR:
# TIMES:
# PAGE_TITLE: 完全數
# CATEGORIES:
完全數
者，
正整數
也。其正
因子
之和適等於本數。如六，一、二、三之和也；二十八，一、二、四、七、十四之和也。

昔
歐幾里得
證之：二冪減一為
素數，則此素數與前冪之積為偶完全數。如六、二十八、四百九十六、八千一百二十八是也。
後
歐拉
復證：偶完全數必如是形。

迄今未知奇完全數之存否，亦未明完全數之多寡。
然學者考之，得若干性質：

其一，偶完全數皆為
三角數，亦為
六邊數
。

其二，偶完全數之二進式表甚特，皆若干一後接等數之零。

其三，完全數之因子之倒數和必為二。

其四，完全數之因子數必為偶。

奇完全數若存，必大於十之千五百冪。其因子至少百有一。

數學家窮索數千載，然此數之奧秘尚未盡明。非淺學所能窺其堂奧，唯精於此道者，方能探其精微。

攷

Annotation-system text

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Add companion material (creates a ticket)

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Propose a text edit (creates a ticket)

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Edited text

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Punctuation options

Preset Source Modern CJK (Traditional) Modern CJK (Simplified / PRC) Pure classical Strip Custom

Quotes

Family

Chinese quotation marks 「」『』 Latin speech marks “ ” ‘ ’ Chinese speech marks ＂＇ Off

Ordering

Traditional: 「甲『乙』丙」 Simplified: 『甲「乙」丙』 Vertical quote forms (﹁﹂﹃﹄)

Question / Exclamation Keep ？ Collapse ? → 。

Keep ！ Collapse ! → 。

Semicolon / Colon Keep ； Collapse ; → 。

Keep ： Collapse : → 。

Comma Use ， Use 、

Repetition mark No repetition mark (default) 々 (Horizontal) 〻 (Vertical) 二 (Western Zhou-style)

# WORK_TITLE: 完全數 # DISPLAY_TITLE: 完全數 # AUTHOR: # TIMES: # PAGE_TITLE: 完全數 # CATEGORIES: 完全數者，正整數也。其正因子之和適等於本數。如六，一、二、三之和也；二十八，一、二、四、七、十四之和也。昔歐幾里得證之：二冪減一為素數，則此素數與前冪之積為偶完全數。如六、二十八、四百九十六、八千一百二十八是也。後歐拉復證：偶完全數必如是形。迄今未知奇完全數之存否，亦未明完全數之多寡。然學者考之，得若干性質：其一，偶完全數皆為三角數，亦為六邊數。其二，偶完全數之二進式表甚特，皆若干一後接等數之零。其三，完全數之因子之倒數和必為二。其四，完全數之因子數必為偶。奇完全數若存，必大於十之千五百冪。其因子至少百有一。數學家窮索數千載，然此數之奧秘尚未盡明。非淺學所能窺其堂奧，唯精於此道者，方能探其精微。攷